Numerical inversion of real-valued Laplace transforms. Regularization method by Vladimir Kryzhniy

	Regularization Method for Numerical Inversion of Laplace Transforms

Exponential analysis

Determination of decay rates and amplitudes from the experimental data is a common task in semiconductor physics (deep level transient spectroscopy), biophysics (fluorescence decay analysis), nuclear physics and chemistry (radioactive decays, NMR) and many other fields.

The problem of exponential analysis is, probably, the most important application where developed method for inversion of real-valued Laplace transforms shows its advantages. Analytical background of the method made it possible to overcome the known limitations for this problem. This is due to the fact that additional information can be obtained from zeroes of the inverse Laplace transform of a sum of exponential decays.

It will not be an overstatement to say that the developed algorithm is the best for solving the problem of exponential analysis. For more information on applying the mathematical method to the problem of Exponential Analysis see:

Kryzhniy V.V. High-resolution exponential analysis via regularized numerical inversion of Laplace transforms. J. Comp. Phys., Vol.199/2, 2004, pp. 618- 630

For more information on Exponential analysis in physical phenomena see:

Exponential analysis in physical phenomena. by Andrei A. Istratov and Oleg F. Vyvenko. Rev. Sci. Instrum. 70(2) 1233 (01 Feb 1999)

Sincerely,
Vladimir Kryzhniy

Last modified on August 17, 2006